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What is the Least Common Multiple of 43157 and 43171?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 43157 and 43171 is 1863130847.

LCM(43157,43171) = 1863130847

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Least Common Multiple of 43157 and 43171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43157 and 43171, than apply into the LCM equation.

GCF(43157,43171) = 1
LCM(43157,43171) = ( 43157 × 43171) / 1
LCM(43157,43171) = 1863130847 / 1
LCM(43157,43171) = 1863130847

Least Common Multiple (LCM) of 43157 and 43171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43157 and 43171. First we will calculate the prime factors of 43157 and 43171.

Prime Factorization of 43157

Prime factors of 43157 are 103, 419. Prime factorization of 43157 in exponential form is:

43157 = 1031 × 4191

Prime Factorization of 43171

Prime factors of 43171 are 23, 1877. Prime factorization of 43171 in exponential form is:

43171 = 231 × 18771

Now multiplying the highest exponent prime factors to calculate the LCM of 43157 and 43171.

LCM(43157,43171) = 1031 × 4191 × 231 × 18771
LCM(43157,43171) = 1863130847